{"id":"https://openalex.org/W2169945598","doi":"https://doi.org/10.1109/tit.2011.2162259","title":"Multiplicatively Repeated Nonbinary LDPC Codes","display_name":"Multiplicatively Repeated Nonbinary LDPC Codes","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2169945598","doi":"https://doi.org/10.1109/tit.2011.2162259","mag":"2169945598"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2162259","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2162259","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00670724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012846212","display_name":"Kenta Kasai","orcid":"https://orcid.org/0000-0002-5728-4011"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenta Kasai","raw_affiliation_strings":["Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022930542","display_name":"David Declercq","orcid":"https://orcid.org/0000-0001-7645-7136"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Declercq","raw_affiliation_strings":["ETIS Laboratory, UMR 8051, ENSEA, UCP, CNRS, Cergy-Pontoise, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETIS Laboratory, UMR 8051, ENSEA, UCP, CNRS, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082023760","display_name":"Charly Poulliat","orcid":"https://orcid.org/0000-0001-6407-8841"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charly Poulliat","raw_affiliation_strings":["ETIS Laboratory, UMR 8051, ENSEA, UCP, CNRS, Cergy-Pontoise, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETIS Laboratory, UMR 8051, ENSEA, UCP, CNRS, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109935052","display_name":"Kohichi Sakaniwa","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kohichi Sakaniwa","raw_affiliation_strings":["Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0454,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.97726882,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"10","first_page":"6788","last_page":"6795"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.8760920763015747},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.711686909198761},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.6727573871612549},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6352484822273254},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.5698472857475281},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5677135586738586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5346872806549072},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.5223432779312134},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.448906809091568},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.44022977352142334},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.41017958521842957},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38757848739624023},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3834841251373291},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3618414103984833}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.8760920763015747},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.711686909198761},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.6727573871612549},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6352484822273254},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.5698472857475281},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5677135586738586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5346872806549072},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.5223432779312134},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.448906809091568},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.44022977352142334},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.41017958521842957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38757848739624023},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3834841251373291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3618414103984833}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tit.2011.2162259","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2162259","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.370.1749","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.370.1749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/76/41/19/PDF/Kasai_2011_IEEETransIT.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.397.3008","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.397.3008","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/67/07/24/PDF/Kasai_2011_IT.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.760.7499","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.760.7499","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1004.5367.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00670724v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00670724","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2011, 57 (10), pp.6788-6795","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-00764119v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00764119","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2011, 57 (10), pp.6788-6795","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00670724v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00670724","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2011, 57 (10), pp.6788-6795","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1511760703","https://openalex.org/W1536930200","https://openalex.org/W1606480398","https://openalex.org/W2014860393","https://openalex.org/W2015684392","https://openalex.org/W2044060124","https://openalex.org/W2044180609","https://openalex.org/W2061850779","https://openalex.org/W2083406405","https://openalex.org/W2085021014","https://openalex.org/W2095882513","https://openalex.org/W2102986410","https://openalex.org/W2105006836","https://openalex.org/W2109866575","https://openalex.org/W2110372787","https://openalex.org/W2110422517","https://openalex.org/W2126617382","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2140570026","https://openalex.org/W2142655068","https://openalex.org/W2146774798","https://openalex.org/W2147792954","https://openalex.org/W2151072989","https://openalex.org/W2153008566","https://openalex.org/W2154734383","https://openalex.org/W2161937935","https://openalex.org/W2165712250","https://openalex.org/W2166319738","https://openalex.org/W2167467706","https://openalex.org/W2169732368","https://openalex.org/W2173776306","https://openalex.org/W2546305429","https://openalex.org/W2612977707","https://openalex.org/W2962716438","https://openalex.org/W3022931967","https://openalex.org/W3103206756","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W1556084011","https://openalex.org/W4254106939","https://openalex.org/W1586112005","https://openalex.org/W2150212378","https://openalex.org/W4229922087","https://openalex.org/W1536488414","https://openalex.org/W2151771884","https://openalex.org/W2977752192","https://openalex.org/W2293000460","https://openalex.org/W58580312"],"abstract_inverted_index":{"We":[0],"propose":[1,50],"nonbinary":[2,15,36],"LDPC":[3,16,37,44],"codes":[4,25,38,45],"concatenated":[5],"with":[6,62],"multiplicative":[7],"repetition":[8],"codes.":[9],"By":[10],"multiplicatively":[11],"repeating":[12],"the":[13,40,51,55,64,71],"(2,3)-regular":[14],"mother":[17,72],"code":[18],"of":[19,26,70],"rate":[20],"1/3,":[21],"we":[22,49],"construct":[23],"rate-compatible":[24],"lower":[27],"rates":[28],"1/6,":[29],"1/9,":[30],"1/12,....":[31],"Surprisingly,":[32],"such":[33],"simple":[34],"low-rate":[35,42],"outperform":[39],"best":[41],"binary":[43],"so":[46],"far.":[47],"Moreover,":[48],"decoding":[52],"algorithm":[53],"for":[54],"proposed":[56],"codes,":[57],"which":[58],"can":[59],"be":[60],"decoded":[61],"almost":[63],"same":[65],"computational":[66],"complexity":[67],"as":[68],"that":[69],"code.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":10}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}